Synopses & Reviews
This is a thorough treatment in one volume of the mathematical techniques vital in classical mechanics, electromagnetic theory, quantum theory, and relativity. Designed for junior, senior, and graduate courses in mathematical physics, it presents full explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, and other advanced mathematical techniques in their logical order during the presentation of the various physical theories. The completeness of the derivations makes the book especially useful for self-study.
Several topics seldom presented, such as electron theory and relativity, appear in considerable detail, because an understanding of them is increasingly vital to the student of atomic physics. But the author's treatment of his chosen subjects in classical physics is no way slighted, and his book has proved valuable to students in all fields of physics.
The opening section provides scores of definitions, conversion factors, dimensional constants, and electromagnetic quantities for ready reference later on. There follows a full treatment of the main branches of classical physics: potential theory, spherical harmonics, vector analysis, dyadics, matrices, tensors, hydrodynamics, advanced dynamics, waves and vibrations, quantum mechanics, electromagnetic theory, and radiation theory. The book concludes with a discussion from first principles of the theory of relativity.
Nearly 200 problems ranging over a wide level of difficulty and selected from many different fields of physics are included, with answers, at ends of chapters.
"The treatment is more detailed than normal for an advanced text . . . excellent set of sections on Dyadics, Matrices, and Tensors. . . . The part on waves and vibrations is well done . . . problems well varied in difficulty." ― Journal of the Franklin Institute.
Synopsis
Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.
Synopsis
Mathematical techniques vital in classical mechanics, electromagnetic theory, quantum theory, relativity. 193 problems, answers.
Synopsis
Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.
Table of Contents
PART I. PHYSICAL DIMENSIONS AND FUNDAMENTAL UNITS
Units and Dimensions in Physics
Dimensions of Various Physical Quantities
Dimensional Analysis
PART II. MECHANICS AND DYNAMICS
Principles of Mechanics
Theory of the Potential
Vector Analysis
"Dyadics, Matrices, and Tensors"
Tensor Analysis
Vector Operations
Hydrodynamics
Principles of Advanced Dynamics
PART III. WAVES AND VIBRATIONS
The Wave Equation
The Effects of Damping in Vibrating Systems
Boundary Value Problems in General
PART IV. CLASSICAL ELECTROMAGNETIC THEORY
Electrostatics and Magnetostatics
Electromagnetism
Electromagnetic Radiation
PART V. RELATIVITY
INDEX